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Finding the Third Proportional to 150,877.13 and 226,318.50

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Solution

The third proportional to 150,877.13 and 226,318.50 is: 339,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,877.13 : 226,318.50 = 226,318.50 : x
  2. Step 2: Convert to fraction form
    150,877.13/226,318.50 = 226,318.50/x
  3. Step 3: Cross multiply
    150,877.13x = 226,318.50 × 226,318.50
  4. Step 4: Simplify right side
    150,877.13x = 51,220,063,442.25
  5. Step 5: Solve for x
    x = 51,220,063,442.25/150,877.13
  6. Step 6: Final answer
    x = 339,481.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.